%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM607+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 14:28:02 EDT 2022
% Result : Theorem 1.01s 1.19s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(17,axiom,
aElementOf0(skc4,xQ),
file('NUM607+3.p',unknown),
[] ).
cnf(30,axiom,
~ aElementOf0(skc4,xS),
file('NUM607+3.p',unknown),
[] ).
cnf(78,axiom,
( ~ aElementOf0(u,xO)
| aElementOf0(u,xS) ),
file('NUM607+3.p',unknown),
[] ).
cnf(80,axiom,
( ~ aElementOf0(u,xQ)
| aElementOf0(u,xO) ),
file('NUM607+3.p',unknown),
[] ).
cnf(501,plain,
aElementOf0(skc4,xO),
inference(res,[status(thm),theory(equality)],[17,80]),
[iquote('0:Res:17.0,80.0')] ).
cnf(536,plain,
~ aElementOf0(skc4,xO),
inference(res,[status(thm),theory(equality)],[78,30]),
[iquote('0:Res:78.1,30.0')] ).
cnf(601,plain,
$false,
inference(mrr,[status(thm)],[536,501]),
[iquote('0:MRR:536.0,501.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM607+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jul 7 05:50:34 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.01/1.19
% 1.01/1.19 SPASS V 3.9
% 1.01/1.19 SPASS beiseite: Proof found.
% 1.01/1.19 % SZS status Theorem
% 1.01/1.19 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.19 SPASS derived 127 clauses, backtracked 0 clauses, performed 0 splits and kept 355 clauses.
% 1.01/1.19 SPASS allocated 104734 KBytes.
% 1.01/1.19 SPASS spent 0:00:00.82 on the problem.
% 1.01/1.19 0:00:00.04 for the input.
% 1.01/1.19 0:00:00.70 for the FLOTTER CNF translation.
% 1.01/1.19 0:00:00.00 for inferences.
% 1.01/1.19 0:00:00.00 for the backtracking.
% 1.01/1.19 0:00:00.04 for the reduction.
% 1.01/1.19
% 1.01/1.19
% 1.01/1.19 Here is a proof with depth 1, length 7 :
% 1.01/1.19 % SZS output start Refutation
% See solution above
% 1.01/1.19 Formulae used in the proof : m__ m__4998 m__5093
% 1.01/1.19
%------------------------------------------------------------------------------